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Solve problems involving percentages, rates, and proportions · Grade 9 · B3.5

Name: ______________________

Date: ______________________

1
What is 30% of 160?
Warm-up
Answer:
2
What is 30% of 180?
Warm-up
Answer:
3
What is 40% of 160?
Warm-up
Answer:
4
6 notebooks cost $18. At the same rate, how much do 9 notebooks cost?
On level
Answer:
5
2 notebooks cost $14. At the same rate, how much do 3 notebooks cost?
On level
Answer:
6
4 notebooks cost $36. At the same rate, how much do 8 notebooks cost?
On level
Answer:
7
A jacket costs $130. Its price rises by 20%. What is the new price?
Challenge
Answer:
8
A jacket costs $80. Its price rises by 40%. What is the new price?
Challenge
Answer:
9
A jacket costs $30. Its price rises by 40%. What is the new price?
Challenge
Answer:

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Worksheet code: eyJzIjoibnVtYmVyLXBlcmNlbnQtcHJvcG9ydGlvbiIsImQiOls2NTMyNTM3MDUsOTA5NTg3NDc2LDE1ODUyMDMzNTYsMjM5NDI4MDQzLDEyMDgzMjc5ODMsMzg3MDE3Mzc4LDE1NTQ4ODA3NzQsMTE1NTU0MTUzNCwxNTk3NTU4NDE0XSwidiI6MX0.b556d67bd129

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Answer key · Solve problems involving percentages, rates, and proportions

1.
48 — 30% of 160 = 30/100 × 160 = 48.
2.
54 — 30% of 180 = 30/100 × 180 = 54.
3.
64 — 40% of 160 = 40/100 × 160 = 64.
4.
27 — Each notebook costs $18 ÷ 6 = $3, so 9 cost 9 × $3 = $27.
5.
21 — Each notebook costs $14 ÷ 2 = $7, so 3 cost 3 × $7 = $21.
6.
72 — Each notebook costs $36 ÷ 4 = $9, so 8 cost 8 × $9 = $72.
7.
156 — The increase is 20% of $130 = $26, so the new price is $130 + $26 = $156.
8.
112 — The increase is 40% of $80 = $32, so the new price is $80 + $32 = $112.
9.
42 — The increase is 40% of $30 = $12, so the new price is $30 + $12 = $42.